复合材料随机双峰结构的模拟（应用于固体推进剂）：II。有效弹性模量的估算
Modeling of random bimodal structures of composites (application to solid propellants): II. Estimation of effective elastic moduli
摘要：
我们考虑一个线性弹性复合介质，它由一个均匀的矩阵包含一组统计均匀的多峰球形夹杂物建模的形态的非均相固体推进剂（HSP）。使用多粒子有效场方法（MEFM）直接考虑到不同的夹杂物的相互作用的有效弹性模量的估计。因此，由MEFM评估的HSP的有效弹性模量对夹杂物的相对尺寸（即，他们的多模态性质）和RDFs估计的实验数据，以及从合奏所提出的方法产生的。此外，在较大的颗粒与双峰结构中的较小颗粒相比，检测到的增加的应力集中因子对于任何非线性局部化现象（例如屈服的开始、失效的开始和损伤累积）是至关重要的。
英文摘要：
We consider a linearly elastic composite medium, which consists of a homogeneous matrix containing a statistically homogeneous set of multimodal spherical inclusions modeling the morphology of heterogeneous solid propellants (HSP). Estimates of effective elastic moduli are performed using the multiparticle effective field method (MEFM) directly taking into account the interaction of different inclusions. Because of this, the effective elastic moduli of the HSP evaluated by the MEFM are sensitive to both the relative size of the inclusions (i.e., their multimodal nature) and the RDFs estimated from experimental data, as well as from the ensembles generated by the method proposed. Moreover, the detected increased stress concentrator factors at the larger particles in comparison with smaller particles in bimodal structures is critical for any nonlinear localized phenomena such as onset of yielding, failure initiation, and damage accumulation.
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